Unfortunately, there are very few groundcovers that will tolerate repeated foot traffic well - lawn grasses tend to be one of the best :-) And even dogs tracking repeatedly through turf will develop distinct pathways or wear patterns that become obvious - the same will happen with any groundcover. I would not recommend the thyme for humid summer conditions nor for particular foot traffic resistance.

I hate to say it but English ivy works very well for these conditions and tolerates both sun and shade. Vinca minor will be pretty resilient as well but both have the potential for invasiveness under certain conditions and in the right location.

btw, providing more clues to your specific location as well as growing conditions (sun/shade, soil quality, drainage etc.) could increase the suggestions :-)